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129015552672 = 2532447970669
BaseRepresentation
bin111100000100111101…
…1010001101010100000
3110100000022112010202200
41320021323101222200
54103210440141142
6135134031013200
712215061050346
oct1701173215240
9410008463680
10129015552672
114a795a092a6
122100706a200
13c220c51716
14635c849996
15355170564c
hex1e09ed1aa0

129015552672 has 36 divisors (see below), whose sum is σ = 366887978730. Its totient is φ = 43005184128.

The previous prime is 129015552671. The next prime is 129015552691. The reversal of 129015552672 is 276255510921.

129015552672 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 1 + 55 + 526 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71052101136 + 57963451536 = 266556^2 + 240756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (129015552671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 223985047 + ... + 223985622.

Almost surely, 2129015552672 is an apocalyptic number.

129015552672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129015552672 is an abundant number, since it is smaller than the sum of its proper divisors (237872426058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129015552672 is a wasteful number, since it uses less digits than its factorization.

129015552672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447970685 (or 447970674 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 129015552672 in words is "one hundred twenty-nine billion, fifteen million, five hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 447970669 895941338 1343912007 1791882676 2687824014 3583765352 4031736021 5375648028 7167530704 8063472042 10751296056 14335061408 16126944084 21502592112 32253888168 43005184224 64507776336 129015552672